The main question addressed in this article is the following: If t edges are removed from a ( t + 1) edge-connected graph G having diameter D, how large can the diameter of the resulting graph be? (The diameter of a graph is the maximum, over all pairs of vertices, of the length of the shortest path
Diameter bounds for planar graphs
✍ Scribed by Radoslav Fulek; Filip Morić; David Pritchard
- Book ID
- 108114284
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 313 KB
- Volume
- 311
- Category
- Article
- ISSN
- 0012-365X
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📜 SIMILAR VOLUMES
## Abstract If ${\cal C}$ is a class of oriented graphs (directed graphs without opposite arcs), then an oriented graph is a __homomorphism bound__ for ${\cal C}$ if there is a homomorphism from each graph in ${\cal C}$ to __H__. We find some necessary conditions for a graph to be a homomorphism bo
A maximal planar graph is a simple planar graph in which every face is a triangle. We show here that such graphs with maximum degree A and diameter two have no more than :A + 1 vertices. We also show that there exist maximal planar graphs with diameter two and exactly LiA + 1 J vertices.